Maths Exam

1. Simplify 1

Simplify the following expression: $$ \left(3 - 4 - 3\times5\right)2(-(-6)) $$
Correct Answer
$$ -192$$ or -192.000

2. Simplify 2

Simplify the following expression: $$ {\left(\frac{-5}{-3}\right)}^{2} - \left(-1 - -6\right)\left(-6 - -5\right) $$
Correct Answer
$$ {\left(\frac{5}{3}\right)}^{2} + 5$$ or 7.77778

3. Fractions 1

Simplify the following expression: $$ \frac{5}{6} + \frac{-4}{3} $$
Correct Answer
$$ \frac{-1}{2}$$ or -0.4999999999999999

4. Fractions 2

Simplify the following expression: $$ \frac{\frac{-4}{3}}{\frac{4}{6}} $$
Correct Answer
$$ -2$$ or -2.0

5. Significant figures

1. Write the following to 4 significant figures: 2554.4309
Correct Answer
2554 or $$2.554\times10^{3}$$
2. Write the following to 4 significant figures: 0.00036216818
Correct Answer
0.0003622 or $$3.622\times10^{-4}$$

6. Standard Form

1. Write the following in standard form to 2 significant digits: 0.0458605
Correct Answer
$$4.6\times10^{-2}$$
2. Write the following in standard form to 3 significant digits: 23324.9
Correct Answer
$$2.33\times10^{4}$$

7. Significant figures

1. Write the following in preferred standard form to 2 significant digits: 5173
Correct Answer
$$5.2\times10^{3}$$
2. Write the following in preferred standard form to 5 significant digits: 3969.77
Correct Answer
$$3.9698\times10^{3}$$

8. Simplify 2

Simplify the following expression: $$ \frac{(-(-5)) - \left(5 + -2\right)}{{\left(6 - -3\right)}^{2}} $$
Correct Answer
$$ \frac{2}{81}$$ or 0.0246914

9. Simplify 1

Simplify the following expression: $$ \left(-2 - 5 - 1(-5)\right)2\times3(-2) $$
Correct Answer
$$ 24$$ or 24.0000

10. Simplify 2

Simplify the following expression: $$ \frac{\frac{-6}{-6} + 2 - -1}{{\left(\frac{4}{-3}\right)}^{2}} $$
Correct Answer
$$ \frac{9}{4}$$ or 2.25000


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